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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 468270b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
468270.b1 | 468270b1 | \([1, -1, 0, -35415, 2552391]\) | \(460250299201/4493070\) | \(47955834607230\) | \([]\) | \(4101120\) | \(1.4445\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 468270b1 has rank \(2\).
Complex multiplication
The elliptic curves in class 468270b do not have complex multiplication.Modular form 468270.2.a.b
sage: E.q_eigenform(10)